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arXiv · 1709.09336

Involutive Weak Globular Higher Categories

Paratat Bejrakarbum·Paolo Bertozzini
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Abstract

We investigate the notion of involutive weak globular $ω$-categories via Jacque Penon's approach. In particular, we give the constructions of a free self-dual globular $ω$-magma, of a free strict involutive globular $ω$-category, over an $ω$-globular set, and a contraction between them. The monadic definition of involutive weak globular $ω$-categories is given as usual via algebras for the monad induced by a certain adjunction. In our case, the adjunction is obtained from the "free functor" that associates to every $ω$-globular set the above contraction. Some examples of involutive weak globular $ω$-categories are also provided.

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Paratat Bejrakarbum, Paolo Bertozzini. 2017-09-27. Involutive Weak Globular Higher Categories. https://arxiv.org/abs/1709.09336

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